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Electronic Colloquium on Computational Complexity

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TR04-099 | 11th November 2004
Ran Raz

Extractors with Weak Random Seeds

We show how to extract random bits from two or more independent
weak random sources, in cases where only one source is of linear
min-entropy and all other sources are of logarithmic min-entropy.
We also give improved constructions of mergers and condensers.
In all that comes below, $\delta$ is an ... more >>>


TR04-098 | 5th November 2004
Lance Fortnow, Rahul Santhanam, Luca Trevisan

Promise Hierarchies

We show that for any constant a, ZPP/b(n) strictly contains
ZPTIME(n^a)/b(n) for some b(n) = O(log n log log n). Our techniques
are very general and give the same hierarchy for all the common
promise time classes including RTIME, NTIME \cap coNTIME, UTIME,
MATIME, AMTIME and BQTIME.

We show a ... more >>>


TR04-097 | 2nd November 2004
VĂ­ctor Dalmau

Malt'sev Constraints made Simple

We give in this paper a different and simpler proof of the tractability of Mal'tsev contraints.

more >>>


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